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Simplifying 6x + -9[9(x + 4) + -1(x + -8)] + -9 = 0 Reorder the terms: 6x + -9[9(4 + x) + -1(x + -8)] + -9 = 0 6x + -9[(4 * 9 + x * 9) + -1(x + -8)] + -9 = 0 6x + -9[(36 + 9x) + -1(x + -8)] + -9 = 0 Reorder the terms: 6x + -9[36 + 9x + -1(-8 + x)] + -9 = 0 6x + -9[36 + 9x + (-8 * -1 + x * -1)] + -9 = 0 6x + -9[36 + 9x + (8 + -1x)] + -9 = 0 Reorder the terms: 6x + -9[36 + 8 + 9x + -1x] + -9 = 0 Combine like terms: 36 + 8 = 44 6x + -9[44 + 9x + -1x] + -9 = 0 Combine like terms: 9x + -1x = 8x 6x + -9[44 + 8x] + -9 = 0 6x + [44 * -9 + 8x * -9] + -9 = 0 6x + [-396 + -72x] + -9 = 0 Reorder the terms: -396 + -9 + 6x + -72x = 0 Combine like terms: -396 + -9 = -405 -405 + 6x + -72x = 0 Combine like terms: 6x + -72x = -66x -405 + -66x = 0 Solving -405 + -66x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '405' to each side of the equation. -405 + 405 + -66x = 0 + 405 Combine like terms: -405 + 405 = 0 0 + -66x = 0 + 405 -66x = 0 + 405 Combine like terms: 0 + 405 = 405 -66x = 405 Divide each side by '-66'. x = -6.136363636 Simplifying x = -6.136363636
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